Finite Group Databasebeta

← #16738623

Subgroups — #16738623

Order 3328.

2876 conjugacy classes of subgroups.

The subgroup lattice has 2112 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719467C211yesmaximal, characteristic, complemented
2C22×#88168C211yesmaximal, characteristic, complemented
3#13128513C211yesmaximal, characteristic, complemented
4#13128464C211yesmaximal, characteristic, complemented
5#13126525C211yesmaximal, characteristic, complemented
6#13126523C211yesmaximal, characteristic, complemented
7#13126514C211yesmaximal, characteristic, complemented
8#13126470C211yesmaximal, characteristic, complemented
9#13126469C211yesmaximal, characteristic, complemented
10#13126435C211yesmaximal, characteristic, complemented
11#13126434C211yesmaximal, characteristic, complemented
12#13126367C211yesmaximal, characteristic, complemented
13#13126358C211yesmaximal, characteristic, complemented
14#13126347C211yesmaximal, characteristic, complemented
15#13126346C211yesmaximal, characteristic, complemented
16#13126331C211yesmaximal, characteristic, complemented
17#13126326C211yesmaximal, characteristic, complemented
18#13126313C211yesmaximal, characteristic, complemented
19#13126312C211yesmaximal, characteristic, complemented
20#13125305C211yesmaximal, characteristic, complemented
21#13124509C211yesmaximal, characteristic, complemented
22#13124459C211yesmaximal, characteristic, complemented
23#13124372C211yesmaximal, characteristic, complemented
24#13124343C211yesmaximal, characteristic, complemented
25#13124141C211yesmaximal, characteristic, complemented
26#13124117C211yesmaximal, characteristic, complemented
27#13124053C211yesmaximal, characteristic, complemented
28D13×#450C211yesmaximal, characteristic, complemented
29#13123663C211yesmaximal, characteristic, complemented
30#13123556C211yesmaximal, characteristic, complemented
31D4×C13×SD16C211yesmaximal, characteristic, complemented
32C2×#88254C2211yescharacteristic, complemented
33C22×#6131C2211yescharacteristic, complemented
34C2×#88251C2211yescharacteristic, complemented
35C22×D4×D13C2211yescharacteristic
36C22×C13×SD16C2211yescharacteristic, complemented
37C22×C13×SD16C2211yescharacteristic, complemented
38D4×Q8×C13C2211yescharacteristic, complemented
39D42×C13C2211yescharacteristic
40#11719522C2211yescharacteristic, complemented
41Q8×C22⋊D13C2211yescharacteristic, complemented
42C2×#88196C2211yescharacteristic, complemented
43C22×#6106C2211yescharacteristic, complemented
44#11719511C2211yescharacteristic
45D4×C22⋊D13—21no—
46D4×C22⋊D13C2211yescharacteristic, complemented
47C2×#88191—21no—
48C2×#88186C2211yescharacteristic, complemented
49C22×#6104C2211yescharacteristic, complemented
50#11719467—28no—
51C2×#88170C2211yescharacteristic, complemented
52C2×#88170C2211yescharacteristic, complemented
53C2×#88170C2211yescharacteristic, complemented
54C2×#88169C2211yescharacteristic, complemented
55C2×#88169C2211yescharacteristic, complemented
56C2×#88168—28no—
57C2×#88168C2211yescharacteristic
58C2×#88168C2211yescharacteristic
59C2×#88168C2211yescharacteristic, complemented
60C2×#88168C2211yescharacteristic, complemented
61C2×#88168C2211yescharacteristic, complemented
62C2×#88168C2211yescharacteristic, complemented
63C2×#88168C2211yescharacteristic, complemented
64C2×#88168C2211yescharacteristic, complemented
65C2×#88168C2211yescharacteristic, complemented
66C2×SD16×D13C2211yescharacteristic, complemented
67C2×SD16×D13C2211yescharacteristic, complemented
68C2×SD16×D13C2211yescharacteristic, complemented
69C2×#88158C2211yescharacteristic, complemented
70C22×D104C2211yescharacteristic, complemented
71C2×#88155C2211yescharacteristic, complemented
72C22×#6094C2211yescharacteristic, complemented
73#11719431—21no—
74#11719431C2211yescharacteristic, complemented
75#11719429—21no—
76#11719429C2211yescharacteristic, complemented
77#11719422C2211yescharacteristic, complemented
78#11719420C2211yescharacteristic, complemented
79#11719336—21no—
80#11719336C2211yescharacteristic, complemented
81#11719335—21no—
82#11719335C2211yescharacteristic, complemented
83#11719334—21no—
84#11719334C2211yescharacteristic, complemented
85D13×C22⋊Q8—21no—
86D13×C22⋊Q8C2211yescharacteristic, complemented
87#11719317C2211yescharacteristic, complemented
88#11719315—21no—
89#11719314C2211yescharacteristic
90#11719312C2211yescharacteristic, complemented
91#11719311C2211yescharacteristic
92#11719310—21no—
93#11719296—21no—
94#11719295—21no—
95#11719294—21no—
96D13×#120—21no—
97#11719281C2211yescharacteristic, complemented
98#11719279C2211yescharacteristic, complemented
99#11719259C2211yescharacteristic, complemented
100#11719255—21no—
101#11719255C2211yescharacteristic
102#11719255C2211yescharacteristic, complemented
103#11719252—21no—
104#11719252C2211yescharacteristic
105#11719250C2211yescharacteristic, complemented
106C13×#492C2211yescharacteristic, complemented
107C13×#465C2211yescharacteristic, complemented
108C13×#465C2211yescharacteristic, complemented
109C13×#461C2211yescharacteristic, complemented
110C13×#460C2211yescharacteristic, complemented
111C13×#450C2211yescharacteristic, complemented
112C13×#450C2211yescharacteristic, complemented
113C13×#448C2211yescharacteristic, complemented
114C13×#448C2211yescharacteristic, complemented
115C4×C13×SD16C2211yescharacteristic, complemented
116C8×D4×C13C2211yescharacteristic, complemented
117#11718889C2211yescharacteristic, complemented
118#11718888C2211yescharacteristic, complemented
119#11718879C2211yescharacteristic, complemented
120#11718878C2211yescharacteristic, complemented
121#11718837C2211yescharacteristic, complemented
122#11718836C2211yescharacteristic, complemented
123#11718835C2211yescharacteristic, complemented
124#11718835C2211yescharacteristic, complemented
125#11718834C2211yescharacteristic, complemented
126#11718833C2211yescharacteristic, complemented
127#11718833C2211yescharacteristic, complemented
128#11718833C2211yescharacteristic, complemented
129#11718831C2211yescharacteristic, complemented
130#11718830C2211yescharacteristic, complemented
131#11718830C2211yescharacteristic, complemented
132#11718830C2211yescharacteristic, complemented
133#11718829C2211yescharacteristic, complemented
134#11718828C2211yescharacteristic, complemented
135#11718827C2211yescharacteristic, complemented
136#11718826C2211yescharacteristic, complemented
137#11718825C2211yescharacteristic, complemented
138#11718824C2211yescharacteristic, complemented
139#11718823C2211yescharacteristic, complemented
140#11718777C2211yescharacteristic, complemented
141#11718776C2211yescharacteristic, complemented
142#11718772C2211yescharacteristic, complemented
143#11718772C2211yescharacteristic, complemented
144#11718747C2211yescharacteristic, complemented
145#11718744C2211yescharacteristic, complemented
146#11718735C2211yescharacteristic, complemented
147#11718733C2211yescharacteristic, complemented
148#11718712C2211yescharacteristic, complemented
149#11718710C2211yescharacteristic, complemented
150#11718708C2211yescharacteristic, complemented
151#11718707C2211yescharacteristic, complemented
152#11718702C2211yescharacteristic, complemented
153#11718700C2211yescharacteristic, complemented
154#11718698C2211yescharacteristic, complemented
155#11718697C2211yescharacteristic, complemented
156#11718689C2211yescharacteristic, complemented
157#11718687C2211yescharacteristic, complemented
158#11718677C2211yescharacteristic, complemented
159#11718675C2211yescharacteristic, complemented
160#11718672C2211yescharacteristic, complemented
161#11718530C2211yescharacteristic, complemented
162#11718529C2211yescharacteristic, complemented
163#11718526C2211yescharacteristic, complemented
164#11718522C2211yescharacteristic, complemented
165#11718505C2211yescharacteristic, complemented
166#11718505C2211yescharacteristic, complemented
167#11718500C2211yescharacteristic, complemented
168#11718497C2211yescharacteristic, complemented
169#11718480C2211yescharacteristic, complemented
170#11718479C2211yescharacteristic, complemented
171#11718477C2211yescharacteristic, complemented
172#11718472C2211yescharacteristic, complemented
173#11718471C2211yescharacteristic, complemented
174#11718471C2211yescharacteristic, complemented
175#11718468C2211yescharacteristic, complemented
176#11718467C2211yescharacteristic, complemented
177#11718465C2211yescharacteristic, complemented
178#11718465C2211yescharacteristic, complemented
179#11718463C2211yescharacteristic, complemented
180#11718449C2211yescharacteristic, complemented
181#11718448C2211yescharacteristic, complemented
182#11718447C2211yescharacteristic, complemented
183#11718442C2211yescharacteristic, complemented
184#11718441C2211yescharacteristic, complemented
185#11718437C2211yescharacteristic, complemented
186#11718437C2211yescharacteristic, complemented
187#11718436C2211yescharacteristic, complemented
188#11718434C2211yescharacteristic, complemented
189#11718432C2211yescharacteristic, complemented
190D13×#102C2211yescharacteristic, complemented
191D13×#102C2211yescharacteristic, complemented
192#11718417C2211yescharacteristic, complemented
193#11718395C2211yescharacteristic, complemented
194#11718395C2211yescharacteristic, complemented
195#11718392C2211yescharacteristic, complemented
196#11718392C2211yescharacteristic, complemented
197#11718390C2211yescharacteristic, complemented
198#11718388C2211yescharacteristic, complemented
199#11718386C2211yescharacteristic, complemented
200D13×C22⋊C8C2211yescharacteristic, complemented
201#11718357C2211yescharacteristic, complemented
202C4×D104C2211yescharacteristic, complemented
203#11718350C2211yescharacteristic, complemented
204#11718349C2211yescharacteristic, complemented
205C24×D13—21no—
206C22×Q8×C13C2311yescharacteristic
207C22×Q8×C13C2311yescharacteristic, complemented
208C22×D4×C13—21no—
209C22×D4×C13C2311yescharacteristic
210C22×D4×C13C2311yescharacteristic
211C22×C22⋊D13—21no—
212C22×C22⋊D13—21no—
213C22×C22⋊D13—21no—
214C22×C22⋊D13—21no—
215#88254—24no—
216#88254—42no—
217C2×#6131—21no—
218C2×#6131—21no—
219C2×#6131—21no—
220C2×#6131—24no—
221C2×#6131—42no—
222C2×#6131C2311yescharacteristic
223C2×#6131C2311yescharacteristic
224C2×#6131C2311yescharacteristic
225C2×#6131C2311yescharacteristic
226C2×#6131C2311yescharacteristic, complemented
227C2×Q8×D13—21no—
228C2×Q8×D13C2311yescharacteristic
229C2×Q8×D13C2311yescharacteristic, complemented
230#88251—24no—
231#88251—42no—
232C2×#6129—21no—
233C2×#6129C2311yescharacteristic
234C2×#6129C2311yescharacteristic
235C2×D4×D13—24no—
236C2×D4×D13—21no—
237C2×D4×D13—21no—
238C2×D4×D13—21no—
239C2×D4×D13—21no—
240C2×D4×D13—21no—
241C2×D4×D13—42no—
242C2×D4×D13C2311yescharacteristic
243C2×D4×D13C2311yescharacteristic
244C2×D4×D13C2311yescharacteristic
245C2×D4×D13C2311yescharacteristic
246C2×D4×D13C2311yescharacteristic
247C2×#6127—21no—
248C2×#6127—21no—
249C2×#6127C2311yescharacteristic
250C2×#6127C2311yescharacteristic
251C2×#6127C2311yescharacteristic, complemented
252C22×D52—21no—
253C22×D52C2311yescharacteristic
254C22×D52C2311yescharacteristic
255C22×C4×D13—21no—
256C22×C4×D13C2311yescharacteristic
257C2×C13×SD16—24no—
258C2×C13×SD16—24no—
259C2×C13×SD16C2311yescharacteristic
260C2×C13×SD16C2311yescharacteristic
261C2×C13×SD16C2311yescharacteristic
262C2×C13×SD16C2311yescharacteristic
263C2×C13×SD16C2311yescharacteristic
264C2×C13×SD16C2311yescharacteristic
265C2×C13×SD16C2311yescharacteristic, complemented
266C2×C13×SD16C2311yescharacteristic, complemented
267C2×C13×SD16C2311yescharacteristic, complemented
268C22×C8×C13C2311yescharacteristic
269C22×C8×C13C2311yescharacteristic, complemented
270C13×C4⋊Q8—21no—
271C13×C4⋊Q8C2311yescharacteristic, complemented
272C13×#127C2311yescharacteristic
273C13×C22⋊Q8—21no—
274C13×C22⋊Q8—21no—
275C13×C22⋊Q8C2311yescharacteristic
276C13×C22⋊Q8C2311yescharacteristic, complemented
277C13×#121—21no—
278C13×#121C2311yescharacteristic
279C13×#121C2311yescharacteristic
280C13×#120—21no—
281C13×#120—21no—
282C4×Q8×C13C2311yescharacteristic, complemented
283C4×D4×C13—21no—
284C4×D4×C13C2311yescharacteristic
285C4×D4×C13C2311yescharacteristic
286#88207—21no—
287#88207—21no—
288C2×C22⋊Dic13—21no—
289#88201—21no—
290#88201C2311yescharacteristic, complemented
291#88200—21no—
292#88200—21no—
293#88200C2311yescharacteristic
294#88200C2311yescharacteristic, complemented
295Q8×Dic13C2311yescharacteristic, complemented
296#88198—21no—
297#88198C2311yescharacteristic, complemented
298C2×#6107C2311yescharacteristic, complemented
299C2×#6107C2311yescharacteristic, complemented
300C2×#6107C2311yescharacteristic, complemented
301#88196—24no—
302C2×#6106—24no—
303C2×#6106C2311yescharacteristic
304C2×#6106C2311yescharacteristic
305C2×#6106C2311yescharacteristic
306C2×#6106C2311yescharacteristic
307C2×#6106C2311yescharacteristic
308C2×#6106C2311yescharacteristic
309#88194—21no—
310#88194C2311yescharacteristic
311#88193—21no—
312#88193—21no—
313#88193—21no—
314#88193—21no—
315#88193D411yescharacteristic
316#88192—21no—
317#88192—21no—
318#88192C2311yescharacteristic
319#88192C2311yescharacteristic
320#88191—21no—
321#88191—21no—
322#88191—21no—
323#88191—21no—
324#88191—21no—
325#88191—21no—
326#88191—21no—
327#88191—21no—
328#88191—21no—
329#88191—21no—
330#88191—21no—
331#88191D411yescharacteristic
332#88190C2311yescharacteristic
333#88189—21no—
334D4×Dic13—21no—
335D4×Dic13C2311yescharacteristic
336C2×#6105C2311yescharacteristic
337C2×#6105C2311yescharacteristic
338C2×#6105C2311yescharacteristic, complemented
339#88186—24no—
340C2×#6104—24no—
341C2×#6104C2311yescharacteristic
342C2×#6104C2311yescharacteristic
343C2×#6104C2311yescharacteristic
344C2×#6104C2311yescharacteristic
345C2×#6104C2311yescharacteristic, complemented
346C2×#6104C2311yescharacteristic, complemented
347#88184—21no—
348#88184—21no—
349#88184C2311yescharacteristic
350#88184C2311yescharacteristic, complemented
351C4×C22⋊D13—21no—
352C4×C22⋊D13—21no—
353C4×C22⋊D13—21no—
354C4×C22⋊D13C2311yescharacteristic
355C4×C22⋊D13C2311yescharacteristic
356C2×#6103—21no—
357C2×#6103—21no—
358#88178—21no—
359#88178C2311yescharacteristic
360#88178C2311yescharacteristic
361C2×#6099C2311yescharacteristic, complemented
362C22×#1055C2311yescharacteristic
363#88170—24no—
364#88170—24no—
365#88170—42no—
366#88169—24no—
367#88169—24no—
368#88168—24no—
369#88168—24no—
370#88168—24no—
371#88168—24no—
372#88168—24no—
373#88168—24no—
374#88168—24no—
375#88168—24no—
376#88168D418yescomplemented
377SD16×D13—24no—
378SD16×D13—24no—
379SD16×D13—42no—
380C2×Dic52C2311yescharacteristic, complemented
381#88158—24no—
382C2×D104—24no—
383C2×D104C2311yescharacteristic
384C2×D104C2311yescharacteristic
385C2×D104C2311yescharacteristic
386C2×D104C2311yescharacteristic
387C2×#6095C2311yescharacteristic
388C2×#6095C2311yescharacteristic
389C2×#6095C2311yescharacteristic, complemented
390C2×#6095C2311yescharacteristic, complemented
391#88155—24no—
392C2×#6094—24no—
393C2×#6094C2311yescharacteristic
394C2×#6094C2311yescharacteristic
395C2×#6094C2311yescharacteristic
396C2×#6094C2311yescharacteristic
397C2×#6094C2311yescharacteristic, complemented
398C2×C8×D13C2311yescharacteristic
399C2×C8×D13C2311yescharacteristic
400C2×C8×D13C2311yescharacteristic, complemented
401#88151—21no—
402#88151C2311yescharacteristic
403#88151C2311yescharacteristic
404#88150—21no—
405#88150—21no—
406#88150—21no—
407#88150—21no—
408#88150D411yescharacteristic
409#88149—21no—
410#88149—21no—
411#88149—21no—
412#88149—21no—
413#88149C2311yescharacteristic
414#88149C2311yescharacteristic, complemented
415#88148—21no—
416#88148—21no—
417#88148—21no—
418#88148—21no—
419#88148—21no—
420#88148—21no—
421#88148—21no—
422#88148—21no—
423#88148D411yescharacteristic
424#88147—21no—
425#88147C2311yescharacteristic
426#88147C2311yescharacteristic, complemented
427#88146C2311yescharacteristic
428C4⋊C4×D13—21no—
429C4⋊C4×D13—21no—
430C4⋊C4×D13—21no—
431C4⋊C4×D13—21no—
432C4⋊C4×D13C2311yescharacteristic
433#88140—21no—
434#88139—21no—
435#88138—21no—
436#88138—21no—
437#88138—21no—
438#88138—21no—
439#88138—21no—
440#88138—21no—
441#88138D411yescharacteristic
442#88137—21no—
443#88137—21no—
444#88137—21no—
445#88137D411yescharacteristic
446#88136—21no—
447#88136—21no—
448#88136—21no—
449#88136—21no—
450#88136D411yescharacteristic
451#88135—21no—
452#88135—21no—
453C22⋊C4×D13—21no—
454C22⋊C4×D13—21no—
455C22⋊C4×D13—21no—
456C22⋊C4×D13—21no—
457C22⋊C4×D13—21no—
458C22⋊C4×D13—21no—
459#88132—21no—
460#88132D411yescharacteristic
461#88129—21no—
462#88129C2311yescharacteristic
463#88129C2311yescharacteristic, complemented
464C4×D52—21no—
465C4×D52—21no—
466C4×D52C2311yescharacteristic
467C4×D52C2311yescharacteristic
468C4×D52C2311yescharacteristic, complemented
469#88126—21no—
470#88126C2311yescharacteristic
471C13×#106C2311yescharacteristic, complemented
472C13×C4⋊C8C2311yescharacteristic, complemented
473C13×#103C2311yescharacteristic, complemented
474C13×#103C2311yescharacteristic, complemented
475C13×#103C2311yescharacteristic, complemented
476C13×#102C2311yescharacteristic
477C13×#102C2311yescharacteristic
478C13×#102C2311yescharacteristic, complemented
479C13×C22⋊C8C2311yescharacteristic
480C13×C22⋊C8C2311yescharacteristic, complemented
481C4×C8×C13C2311yescharacteristic, complemented
482#88075C2311yescharacteristic, complemented
483#88075C2311yescharacteristic, complemented
484#88075C2311yescharacteristic, complemented
485#88072C2311yescharacteristic
486#88072C2311yescharacteristic
487#88072C2311yescharacteristic, complemented
488C22⋊#1055C2311yescharacteristic
489C22⋊#1055C2311yescharacteristic, complemented
490#88061C2311yescharacteristic
491#88061C2311yescharacteristic
492#88061C2311yescharacteristic, complemented
493#88061C2311yescharacteristic, complemented
494#88060C2311yescharacteristic
495#88060C2311yescharacteristic
496#88060C2311yescharacteristic, complemented
497#88060C2311yescharacteristic, complemented
498#88058C2311yescharacteristic, complemented
499#88056C2311yescharacteristic, complemented
500#88056C2311yescharacteristic, complemented
501#88055C2311yescharacteristic, complemented
502#88054C2311yescharacteristic, complemented
503#88054C2311yescharacteristic, complemented
504C8×Dic13C2311yescharacteristic, complemented
505#88050C2311yescharacteristic, complemented
506#88050C2311yescharacteristic, complemented
507#88049C2311yescharacteristic
508#88049C2311yescharacteristic
509#88049C2311yescharacteristic, complemented
510#88049C2311yescharacteristic, complemented
511#88048C2311yescharacteristic, complemented
512#88047C2311yescharacteristic, complemented
513C4⋊#1055C2311yescharacteristic, complemented
514#88043C2311yescharacteristic, complemented
515#61071—131nomaximal, Sylow
516C24×C13—21no—
517C24×C13—21no—
518C23×D13—21no—
519C23×D13—21no—
520C23×D13—21no—
521C23×D13—21no—
522C23×D13—21no—
523C23×D13—21no—
524C23×D13—21no—
525C23×D13—44no—
526C23×D13—82no—
527C23×D13—82no—
528C23×D13C2×D411yescharacteristic
529C2×Q8×C13—21no—
530C2×Q8×C13—21no—
531C2×Q8×C13—22no—
532C2×Q8×C13—22no—
533C2×Q8×C13—41no—
534C2×Q8×C13—41no—
535C2×Q8×C13C2411yescharacteristic
536C2×Q8×C13C2411yescharacteristic
537C2×Q8×C13C2411yescharacteristic
538C2×D4×C13—22no—
539C2×D4×C13—22no—
540C2×D4×C13—21no—
541C2×D4×C13—21no—
542C2×D4×C13—21no—
543C2×D4×C13—21no—
544C2×D4×C13—21no—
545C2×D4×C13—21no—
546C2×D4×C13—41no—
547C2×D4×C13—41no—
548C2×D4×C13—82no—
549C2×D4×C13C2×D411yescharacteristic
550C2×D4×C13C2411yescharacteristic
551C2×D4×C13C2411yescharacteristic
552C2×D4×C13C2411yescharacteristic
553C22×C4×C13—21no—
554C22×C4×C13—21no—
555C22×C4×C13—21no—
556C22×C4×C13C2411yescharacteristic
557C22×C4×C13C2411yescharacteristic
558C2×C22⋊D13—21no—
559C2×C22⋊D13—21no—
560C2×C22⋊D13—21no—
561C2×C22⋊D13—21no—
562C2×C22⋊D13—21no—
563C2×C22⋊D13—21no—
564C2×C22⋊D13—21no—
565C2×C22⋊D13—21no—
566C2×C22⋊D13—21no—
567C2×C22⋊D13—21no—
568C2×C22⋊D13—21no—
569C2×C22⋊D13—21no—
570C2×C22⋊D13—21no—
571C2×C22⋊D13—21no—
572C2×C22⋊D13—21no—
573C2×C22⋊D13—44no—
574C2×C22⋊D13—44no—
575C2×C22⋊D13—44no—
576C2×C22⋊D13—82no—
577C2×C22⋊D13C2×D411yescharacteristic
578C2×C22⋊D13C2×D411yescharacteristic
579C2×C22⋊D13C2×D411yescharacteristic
580C2×C22⋊D13C2×D411yescharacteristic
581C22×Dic13—21no—
582C22×Dic13—21no—
583C22×Dic13—21no—
584C22×Dic13C2×D411yescharacteristic
585#6131—22no—
586#6131—22no—
587#6131—22no—
588#6131—22no—
589#6131—22no—
590#6131—22no—
591#6131—44no—
592#6131—41no—
593#6131—41no—
594#6131—41no—
595#6131—44no—
596#6131—44no—
597#6131C2×D414yescomplemented
598Q8×D13—22no—
599Q8×D13—22no—
600Q8×D13—22no—
601Q8×D13—41no—
602Q8×D13—44no—
603#6129—22no—
604#6129—22no—
605#6129—22no—
606#6129—41no—
607#6129—44no—
608D4×D13—22no—
609D4×D13—22no—
610D4×D13—22no—
611D4×D13—22no—
612D4×D13—22no—
613D4×D13—22no—
614D4×D13—41no—
615D4×D13—41no—
616D4×D13—41no—
617D4×D13—44no—
618D4×D13—44no—
619D4×D13—44no—
620D4×D13—82no—
621D4×D13—82no—
622D4×D13C2×D414yes—
623#6127—22no—
624#6127—22no—
625#6127—22no—
626#6127—22no—
627#6127—41no—
628#6127—41no—
629#6127—44no—
630#6127—44no—
631C2×D52—21no—
632C2×D52—22no—
633C2×D52—22no—
634C2×D52—21no—
635C2×D52—21no—
636C2×D52—21no—
637C2×D52—21no—
638C2×D52—21no—
639C2×D52—21no—
640C2×D52—21no—
641C2×D52—21no—
642C2×D52—41no—
643C2×D52—41no—
644C2×D52—44no—
645C2×D52C2×D411yescharacteristic
646C2×D52C2×D411yescharacteristic
647C2×D52C2411yescharacteristic
648C2×D52C2411yescharacteristic
649C2×D52C2411yescharacteristic
650C2×D52C2411yescharacteristic
651C2×C4×D13—21no—
652C2×C4×D13—22no—
653C2×C4×D13—22no—
654C2×C4×D13—21no—
655C2×C4×D13—21no—
656C2×C4×D13—21no—
657C2×C4×D13—21no—
658C2×C4×D13—21no—
659C2×C4×D13—21no—
660C2×C4×D13—21no—
661C2×C4×D13—21no—
662C2×C4×D13—21no—
663C2×C4×D13—21no—
664C2×C4×D13—21no—
665C2×C4×D13—21no—
666C2×C4×D13—21no—
667C2×C4×D13—44no—
668C2×C4×D13C2×D411yescharacteristic
669C2×C4×D13C2×D411yescharacteristic
670C2×C4×D13C2411yescharacteristic
671C2×C4×D13C2411yescharacteristic
672C2×C4×D13C2411yescharacteristic
673C2×Dic26—21no—
674C2×Dic26—21no—
675C2×Dic26C2×D411yescharacteristic
676C2×Dic26C2411yescharacteristic
677C2×Dic26C2411yescharacteristic
678C13×SD16—22no—
679C13×SD16—22no—
680C13×SD16—22no—
681C13×SD16—22no—
682C13×SD16—22no—
683C13×SD16—22no—
684C13×SD16—41no—
685C13×SD16—41no—
686C13×SD16C2×D414yescomplemented
687C2×C8×C13—22no—
688C2×C8×C13—22no—
689C2×C8×C13C2411yescharacteristic
690C2×C8×C13C2411yescharacteristic
691C2×C8×C13C2411yescharacteristic
692C2×C8×C13C2411yescharacteristic
693C13×C4⋊C4—21no—
694C13×C4⋊C4—21no—
695C13×C4⋊C4—21no—
696C13×C4⋊C4—21no—
697C13×C4⋊C4—21no—
698C13×C4⋊C4C2×D411yescharacteristic
699C13×C4⋊C4C2411yescharacteristic
700C13×C4⋊C4C2411yescharacteristic
701C13×C22⋊C4—21no—
702C13×C22⋊C4—21no—
703C13×C22⋊C4—21no—
704C13×C22⋊C4—21no—
705C13×C22⋊C4—21no—
706C13×C22⋊C4C2×D411yescharacteristic
707C13×C22⋊C4C2×D411yescharacteristic
708C42×C13—21no—
709C42×C13C2411yescharacteristic
710C22⋊Dic13—21no—
711C22⋊Dic13—21no—
712C22⋊Dic13—21no—
713C22⋊Dic13—21no—
714C22⋊Dic13—21no—
715C22⋊Dic13—21no—
716C22⋊Dic13—21no—
717C22⋊Dic13C2×D411yescharacteristic
718C22⋊Dic13C2×D411yescharacteristic
719#6107—22no—
720#6107—22no—
721#6107—41no—
722#6106—22no—
723#6106—22no—
724#6106—22no—
725#6106—22no—
726#6106—41no—
727#6106C2×D414yescomplemented
728#6105—22no—
729#6105—22no—
730#6105—41no—
731#6104—22no—
732#6104—22no—
733#6104—22no—
734#6104—22no—
735#6104—41no—
736#6104C2×D414yescomplemented
737#6103—21no—
738#6103—21no—
739#6103—21no—
740#6103—21no—
741#6103—21no—
742#6103—21no—
743#6103—21no—
744#6103—21no—
745#6103—21no—
746#6103—21no—
747#6103—21no—
748#6103—21no—
749#6103—21no—
750#6103—21no—
751#6103—21no—
752#6103—21no—
753#6103—21no—
754#6103—21no—
755#6103—21no—
756#6103C2×D411yescharacteristic
757#6103C2×D411yescharacteristic
758#6103C2×D411yescharacteristic
759#6103C2×D411yescharacteristic
760#6103C2×D411yescharacteristic
761#6103C2×D411yescharacteristic
762C4⋊Dic13—21no—
763C4⋊Dic13—21no—
764C4⋊Dic13—21no—
765C4⋊Dic13C2×D411yescharacteristic
766C4⋊Dic13C2411yescharacteristic
767C4⋊Dic13C2411yescharacteristic
768#6101—21no—
769#6101—21no—
770#6101—21no—
771#6101—21no—
772#6101—21no—
773#6101—21no—
774#6101—21no—
775#6101C2×D411yescharacteristic
776#6101C2×D411yescharacteristic
777#6101C2×D411yescharacteristic
778#6101C2×D411yescharacteristic
779C4×Dic13—21no—
780C4×Dic13—21no—
781C4×Dic13C2411yescharacteristic
782#6099—22no—
783C2×#1055—22no—
784C2×#1055C2411yescharacteristic
785C2×#1055C2411yescharacteristic
786C2×#1055C2411yescharacteristic
787C2×#1055C2411yescharacteristic
788Dic52—22no—
789D104—22no—
790D104—22no—
791D104—22no—
792D104C2×D414yescomplemented
793#6095—22no—
794#6095—22no—
795#6095—41no—
796#6095—41no—
797#6094—22no—
798#6094—22no—
799#6094—22no—
800#6094—22no—
801#6094C2×D414yescomplemented
802C8×D13—22no—
803C8×D13—22no—
804C8×D13—22no—
805C2×#577—131no—
806C22×AGL(1,ℤ/8)—131no—
807#3489—131no—
808#3484—131no—
809D4×SD16—131no—
810D4×SD16D1311yescharacteristic, complemented
811#3280—131no—
812#3280—131no—
813#3275—131no—
814#3275—131no—
815#3272—131no—
816#3272—131no—
817#3267—131no—
818#3267—131no—
819#3266—131no—
820#3266—131no—
821#3265—131no—
822#3265—131no—
823#3264—131no—
824#3264—131no—
825#3154—131no—
826#3062—131no—
827#3056—131no—
828#3045—131no—
829#3042—131no—
830#3012—131no—
831#3010—131no—
832#3002—131no—
833C2×#450—131no—
834#2946—131no—
835#2933—131no—
836C23×C13—21no—
837C23×C13—21no—
838C23×C13—21no—
839C23×C13—42no—
840C23×C13—42no—
841C23×C13—42no—
842C23×C13—81no—
843C23×C13—81no—
844C23×C13—81no—
845C23×C13C22×D411yescharacteristic
846C23×C13C22×D411yescharacteristic
847C22×D13—22no—
848C22×D13—21no—
849C22×D13—21no—
850C22×D13—22no—
851C22×D13—24no—
852C22×D13—21no—
853C22×D13—21no—
854C22×D13—41no—
855C22×D13—42no—
856C22×D13—42no—
857C22×D13—42no—
858C22×D13—42no—
859C22×D13—42no—
860C22×D13—42no—
861C22×D13—42no—
862C22×D13—42no—
863C22×D13—42no—
864C22×D13—42no—
865C22×D13—81no—
866C22×D13—81no—
867C22×D13—81no—
868C22×D13—81no—
869C22×D13—81no—
870C22×D13—81no—
871C22×D13—81no—
872C22×D13—81no—
873C22×D13—81no—
874C22×D13—81no—
875C22×D13—816no—
876C22×D13C22×D411yescharacteristic
877C22×D13C22×D411yescharacteristic
878C22×D13C22×D411yescharacteristic
879Q8×C13—21no—
880Q8×C13—21no—
881Q8×C13—21no—
882Q8×C13—21no—
883Q8×C13—21no—
884Q8×C13—42no—
885Q8×C13—42no—
886Q8×C13C22×D412yes—
887D4×C13—22no—
888D4×C13—21no—
889D4×C13—21no—
890D4×C13—21no—
891D4×C13—21no—
892D4×C13—21no—
893D4×C13—42no—
894D4×C13—42no—
895D4×C13—42no—
896D4×C13—81no—
897D4×C13—81no—
898D4×C13—81no—
899D4×C13C22×D412yes—
900C2×C4×C13—21no—
901C2×C4×C13—21no—
902C2×C4×C13—21no—
903C2×C4×C13—21no—
904C2×C4×C13—21no—
905C2×C4×C13—21no—
906C2×C4×C13—21no—
907C2×C4×C13—21no—
908C2×C4×C13—21no—
909C2×C4×C13—42no—
910C2×C4×C13—42no—
911C2×C4×C13—81no—
912C2×C4×C13C22×D411yescharacteristic
913C2×C4×C13C22×D411yescharacteristic
914C2×C4×C13C22×D411yescharacteristic
915C2×C4×C13C22×D411yescharacteristic
916C2×C4×C13C2511yescharacteristic
917C22⋊D13—22no—
918C22⋊D13—22no—
919C22⋊D13—22no—
920C22⋊D13—24no—
921C22⋊D13—41no—
922C22⋊D13—42no—
923C22⋊D13—42no—
924C22⋊D13—42no—
925C22⋊D13—42no—
926C22⋊D13—42no—
927C22⋊D13—42no—
928C22⋊D13—42no—
929C22⋊D13—42no—
930C22⋊D13—42no—
931C22⋊D13—81no—
932C22⋊D13—81no—
933C22⋊D13—81no—
934C22⋊D13—81no—
935C22⋊D13—81no—
936C2×Dic13—22no—
937C2×Dic13—21no—
938C2×Dic13—21no—
939C2×Dic13—21no—
940C2×Dic13—21no—
941C2×Dic13—42no—
942C2×Dic13—42no—
943C2×Dic13—81no—
944C2×Dic13C22×D411yescharacteristic
945C2×Dic13C22×D411yescharacteristic
946C2×Dic13C22×D411yescharacteristic
947C2×Dic13C22×D411yescharacteristic
948C2×Dic13C22×D411yescharacteristic
949D52—24no—
950D52—22no—
951D52—21no—
952D52—21no—
953D52—21no—
954D52—21no—
955D52—21no—
956D52—21no—
957D52—41no—
958D52—42no—
959D52—42no—
960D52—42no—
961D52—42no—
962D52—42no—
963D52—42no—
964D52—81no—
965D52—81no—
966D52C22×D412yes—
967D52C22×D412yes—
968C4×D13—22no—
969C4×D13—21no—
970C4×D13—21no—
971C4×D13—21no—
972C4×D13—21no—
973C4×D13—22no—
974C4×D13—24no—
975C4×D13—42no—
976C4×D13—42no—
977C4×D13—42no—
978C4×D13—42no—
979C4×D13—42no—
980C4×D13—42no—
981C4×D13—42no—
982C4×D13—42no—
983C4×D13—81no—
984C4×D13—81no—
985C4×D13—81no—
986C4×D13—81no—
987C4×D13—81no—
988C4×D13C22×D412yes—
989C4×D13H(5,𝔽2)12yes—
990Dic26—22no—
991Dic26—21no—
992Dic26—21no—
993Dic26—21no—
994Dic26—21no—
995Dic26—42no—
996Dic26—42no—
997C8×C13—21no—
998C8×C13—21no—
999C8×C13—21no—
1000C8×C13C22×D412yes—
1001#1055—21no—
1002#1055—21no—
1003#1055—21no—
1004#1055C22×D412yes—
1005C2×2−1+4—131no—
1006C2×H(5,𝔽2)—131no—
1007C22×#41—131no—
1008C23×D4—131no—
1009#577—268no—
1010C2×#137—131no—
1011C2×#137—131no—
1012C2×#137—131no—
1013C2×AGL(1,ℤ/8)—131no—
1014C2×AGL(1,ℤ/8)—131no—
1015C2×AGL(1,ℤ/8)—131no—
1016C2×AGL(1,ℤ/8)—131no—
1017C2×AGL(1,ℤ/8)—131no—
1018C2×AGL(1,ℤ/8)—131no—
1019C2×AGL(1,ℤ/8)—131no—
1020C2×AGL(1,ℤ/8)—131no—
1021C2×AGL(1,ℤ/8)—131no—
1022C2×AGL(1,ℤ/8)—131no—
1023C2×AGL(1,ℤ/8)—268no—
1024C2×#135—131no—
1025C2×#135—131no—
1026C2×#135—131no—
1027C2×#135—131no—
1028C22×SD16—131no—
1029C22×SD16—131no—
1030C22×SD16—131no—
1031C22×SD16—131no—
1032C22×SD16C2×D1311yescharacteristic, complemented
1033C22×SD16C2×D1311yescharacteristic, complemented
1034C22×D8—131no—
1035C22×D8—131no—
1036C2×#131—131no—
1037C22×M16—131no—
1038D4×Q8—131no—
1039D4×Q8C2×D1311yescharacteristic, complemented
1040#548—131no—
1041#548—131no—
1042#547—131no—
1043#547—131no—
1044#547—261no—
1045#547—261no—
1046#546—131no—
1047#546—131no—
1048#546—131no—
1049#546—131no—
1050#546—131no—
1051#546—131no—
1052#546—261no—
1053#546—261no—
1054#546—261no—
1055#546—261no—
1056D42—131no—
1057D42—131no—
1058D42—131no—
1059D42—261no—
1060D42—261no—
1061D42C2×D1311yescharacteristic
1062#537—131no—
1063#537—261no—
1064#536—131no—
1065#536—261no—
1066#535—131no—
1067#535—131no—
1068#534—261no—
1069#534—261no—
1070#525—131no—
1071#525—131no—
1072#525—261no—
1073C2×C22⋊Q8—131no—
1074C2×C22⋊Q8—261no—
1075C2×#120—261no—
1076C2×#120—261no—
1077#520—131no—
1078#518—131no—
1079#497—131no—
1080#497—131no—
1081#496—131no—
1082#496—131no—
1083#495—131no—
1084#495—131no—
1085#492—131no—
1086#492C2×D1311yescharacteristic, complemented
1087#470—131no—
1088#470—131no—
1089#469—131no—
1090#469—131no—
1091#468—131no—
1092#468—131no—
1093#468—131no—
1094#468—131no—
1095#467—131no—
1096#467—131no—
1097#466—131no—
1098#466—131no—
1099#465—131no—
1100#465—131no—
1101#465C2×D1311yescharacteristic, complemented
1102#465C2×D1311yescharacteristic, complemented
1103#464—131no—
1104#464—131no—
1105#463—131no—
1106#463—131no—
1107#463—131no—
1108#463—131no—
1109#463—131no—
1110#463—131no—
1111#461—131no—
1112#461—131no—
1113#461—131no—
1114#461C2×D1311yescharacteristic, complemented
1115#460—131no—
1116#460C2×D1311yescharacteristic, complemented
1117#459—131no—
1118#459—131no—
1119#452—131no—
1120#452—131no—
1121#452—131no—
1122#452—131no—
1123#451—131no—
1124#450—131no—
1125#450—131no—
1126#450—131no—
1127#450—131no—
1128#450—131no—
1129#450—131no—
1130#450—131no—
1131#450—131no—
1132#450—131no—
1133#450C2×D1311yescharacteristic, complemented
1134#450C2×D1311yescharacteristic, complemented
1135#449—131no—
1136#449—131no—
1137#449—131no—
1138#449—131no—
1139#449—131no—
1140#449—131no—
1141#449—131no—
1142#449—131no—
1143#448—131no—
1144#448—131no—
1145#448—131no—
1146#448C2×D1311yescharacteristic, complemented
1147#448C2×D1311yescharacteristic, complemented
1148#447—131no—
1149#447—131no—
1150#447—131no—
1151#442—131no—
1152#442—131no—
1153#440—131no—
1154#440—131no—
1155C4×SD16—131no—
1156C4×SD16C2×D1311yescharacteristic, complemented
1157C4×D8—131no—
1158C4×D8—131no—
1159#436—131no—
1160#436—131no—
1161#435—131no—
1162#435—131no—
1163#435—131no—
1164#435—131no—
1165C8×D4—131no—
1166C8×D4C2×D1311yescharacteristic, complemented
1167#428—131no—
1168#424—131no—
1169#419—131no—
1170#417—131no—
1171#416—131no—
1172#416—131no—
1173C2×#102—131no—
1174C2×#102—131no—
1175#408—131no—
1176C2×C22⋊C8—131no—
1177#405—131no—
1178C22×C13—21no—
1179C22×C13—21no—
1180C22×C13—21no—
1181C22×C13—22no—
1182C22×C13—21no—
1183C22×C13—21no—
1184C22×C13—41no—
1185C22×C13—41no—
1186C22×C13—41no—
1187C22×C13—41no—
1188C22×C13—41no—
1189C22×C13—41no—
1190C22×C13—41no—
1191C22×C13—41no—
1192C22×C13—84no—
1193C22×C13—162no—
1194C22×C13#57712yescomplemented
1195C22×C13C23×D411yescharacteristic
1196C2×D13—21no—
1197C2×D13—21no—
1198C2×D13—21no—
1199C2×D13—21no—
1200C2×D13—21no—
1201C2×D13—22no—
1202C2×D13—21no—
1203C2×D13—22no—
1204C2×D13—21no—
1205C2×D13—21no—
1206C2×D13—44no—
1207C2×D13—41no—
1208C2×D13—41no—
1209C2×D13—41no—
1210C2×D13—41no—
1211C2×D13—41no—
1212C2×D13—41no—
1213C2×D13—41no—
1214C2×D13—41no—
1215C2×D13—41no—
1216C2×D13—41no—
1217C2×D13—84no—
1218C2×D13—84no—
1219C2×D13—84no—
1220C2×D13—84no—
1221C2×D13—84no—
1222C2×D13—84no—
1223C2×D13—162no—
1224C2×D13D4212yes—
1225C4×C13—21no—
1226C4×C13—21no—
1227C4×C13—22no—
1228C4×C13—21no—
1229C4×C13—21no—
1230C4×C13—41no—
1231C4×C13—41no—
1232C4×C13—41no—
1233C4×C13—41no—
1234C4×C13C23×D411yescharacteristic
1235C4×C13C2×H(5,𝔽2)11yescharacteristic
1236Dic13—21no—
1237Dic13—21no—
1238Dic13—21no—
1239Dic13—21no—
1240Dic13—41no—
1241Dic13—41no—
1242Dic13—41no—
1243Dic13—41no—
1244Dic13D4212yes—
1245C25—261no—
12462−1+4—264no—
12472−1+4—522no—
1248H(5,𝔽2)—264no—
1249H(5,𝔽2)—522no—
1250C2×#41—131no—
1251C2×#41—131no—
1252C2×#41—131no—
1253C2×#41—131no—
1254C2×#41—131no—
1255C2×#41—131no—
1256C2×#41—131no—
1257C2×#41—131no—
1258C2×#41—131no—
1259C2×#41—131no—
1260C2×#41—261no—
1261C2×#41—261no—
1262C2×#41—261no—
1263C2×#41—261no—
1264C2×#41—261no—
1265C2×#41—261no—
1266C2×#41—264no—
1267C2×#41—522no—
1268C22×Q8—131no—
1269C22×Q8—131no—
1270C22×Q8—261no—
1271C22×Q8C22×D1311yescharacteristic
1272C22×Q8C22×D1311yescharacteristic, complemented
1273C22×D4—21no—
1274C22×D4—131no—
1275C22×D4—131no—
1276C22×D4—131no—
1277C22×D4—131no—
1278C22×D4—131no—
1279C22×D4—131no—
1280C22×D4—131no—
1281C22×D4—261no—
1282C22×D4—261no—
1283C22×D4—261no—
1284C22×D4—261no—
1285C22×D4—264no—
1286C22×D4—261no—
1287C22×D4—261no—
1288C22×D4—261no—
1289C22×D4—261no—
1290C22×D4—261no—
1291C22×D4—261no—
1292C22×D4—522no—
1293C22×D4C22×D1311yescharacteristic
1294C22×D4C22×D1311yescharacteristic
1295C23×C4—131no—
1296C23×C4—261no—
1297#137—264no—
1298#137—264no—
1299#137—264no—
1300AGL(1,ℤ/8)—138no—
1301AGL(1,ℤ/8)—264no—
1302AGL(1,ℤ/8)—264no—
1303AGL(1,ℤ/8)—264no—
1304AGL(1,ℤ/8)—264no—
1305AGL(1,ℤ/8)—264no—
1306AGL(1,ℤ/8)—264no—
1307AGL(1,ℤ/8)—264no—
1308AGL(1,ℤ/8)—264no—
1309AGL(1,ℤ/8)—264no—
1310#135—264no—
1311#135—264no—
1312#135—264no—
1313#135—522no—
1314C2×Q16—131no—
1315C2×Q16—131no—
1316C2×Q16—131no—
1317C2×Q16—131no—
1318C2×SD16—24no—
1319C2×SD16—24no—
1320C2×SD16—131no—
1321C2×SD16—131no—
1322C2×SD16—131no—
1323C2×SD16—131no—
1324C2×SD16—131no—
1325C2×SD16—131no—
1326C2×SD16—131no—
1327C2×SD16—131no—
1328C2×SD16—131no—
1329C2×SD16—131no—
1330C2×SD16—131no—
1331C2×SD16—131no—
1332C2×SD16—131no—
1333C2×SD16—264no—
1334C2×SD16—264no—
1335C2×SD16—264no—
1336C2×SD16—522no—
1337C2×SD16C22×D1311yescharacteristic
1338C2×SD16C22×D1311yescharacteristic
1339C2×SD16C22×D1311yescharacteristic
1340C2×SD16C22×D1311yescharacteristic
1341C2×SD16C22×D1311yescharacteristic
1342C2×SD16C22×D1311yescharacteristic
1343C2×SD16C22×D1311yescharacteristic, complemented
1344C2×SD16C22×D1311yescharacteristic, complemented
1345C2×SD16C22×D1311yescharacteristic, complemented
1346C2×D8—131no—
1347C2×D8—131no—
1348C2×D8—131no—
1349C2×D8—131no—
1350C2×D8—131no—
1351C2×D8—131no—
1352C2×D8—131no—
1353C2×D8—131no—
1354C2×D8—131no—
1355C2×D8—131no—
1356C2×D8—264no—
1357C2×D8—264no—
1358#131—264no—
1359C2×M16—131no—
1360C2×M16—131no—
1361C2×M16—131no—
1362C2×M16—131no—
1363C2×M16—131no—
1364C2×M16—131no—
1365C2×M16—264no—
1366C22×C8—131no—
1367C22×C8—131no—
1368C22×C8—131no—
1369C22×C8—131no—
1370C22×C8C22×D1311yescharacteristic
1371C22×C8C22×D1311yescharacteristic, complemented
1372C4⋊Q8—21no—
1373C4⋊Q8—131no—
1374C4⋊Q8—261no—
1375C4⋊Q8C22×D1311yescharacteristic, complemented
1376#127—131no—
1377#127—261no—
1378#127C22×D1311yescharacteristic
1379#124—131no—
1380#124—131no—
1381#124—131no—
1382#124—131no—
1383#124—261no—
1384#124—261no—
1385#124—261no—
1386#123—131no—
1387#123—131no—
1388#123—261no—
1389#123—261no—
1390#123—261no—
1391#123—261no—
1392#123—261no—
1393#123—261no—
1394#123—261no—
1395#123—261no—
1396#123—261no—
1397#123—261no—
1398#123—261no—
1399#123—261no—
1400#123—261no—
1401C22⋊Q8—21no—
1402C22⋊Q8—21no—
1403C22⋊Q8—131no—
1404C22⋊Q8—131no—
1405C22⋊Q8—131no—
1406C22⋊Q8—131no—
1407C22⋊Q8—131no—
1408C22⋊Q8—131no—
1409C22⋊Q8—131no—
1410C22⋊Q8—131no—
1411C22⋊Q8—261no—
1412C22⋊Q8—261no—
1413C22⋊Q8—261no—
1414C22⋊Q8—261no—
1415C22⋊Q8—261no—
1416C22⋊Q8—261no—
1417C22⋊Q8—261no—
1418C22⋊Q8—261no—
1419C22⋊Q8—261no—
1420C22⋊Q8C22×D1311yescharacteristic
1421C22⋊Q8C22×D1311yescharacteristic, complemented
1422#121—21no—
1423#121—131no—
1424#121—131no—
1425#121—131no—
1426#121—131no—
1427#121—131no—
1428#121—131no—
1429#121—131no—
1430#121—131no—
1431#121—261no—
1432#121—261no—
1433#121—261no—
1434#121—261no—
1435#121—261no—
1436#121—261no—
1437#121—261no—
1438#121—261no—
1439#121—261no—
1440#121—261no—
1441#121—261no—
1442#121—261no—
1443#121—261no—
1444#121—261no—
1445#121—261no—
1446#121—261no—
1447#121—261no—
1448#121—261no—
1449#121C22×D1311yescharacteristic
1450#121C22×D1311yescharacteristic
1451#120—21no—
1452#120—21no—
1453#120—131no—
1454#120—131no—
1455#120—261no—
1456#120—261no—
1457#120—261no—
1458#120—261no—
1459#120—261no—
1460#120—261no—
1461#120—261no—
1462#120—261no—
1463#120—261no—
1464#120—261no—
1465#120—261no—
1466#120—261no—
1467#120—261no—
1468#120—261no—
1469#120—261no—
1470#120—261no—
1471#120—261no—
1472C4×Q8—131no—
1473C4×Q8C22×D1311yescharacteristic, complemented
1474C4×D4—21no—
1475C4×D4—131no—
1476C4×D4—131no—
1477C4×D4—131no—
1478C4×D4—131no—
1479C4×D4—131no—
1480C4×D4—131no—
1481C4×D4—131no—
1482C4×D4—131no—
1483C4×D4—261no—
1484C4×D4—261no—
1485C4×D4—261no—
1486C4×D4—261no—
1487C4×D4—261no—
1488C4×D4—261no—
1489C4×D4—261no—
1490C4×D4—261no—
1491C4×D4—261no—
1492C4×D4C22×D1311yescharacteristic
1493C4×D4C22×D1311yescharacteristic
1494#117—131no—
1495#117—131no—
1496#117—261no—
1497C2×C4⋊C4—131no—
1498C2×C4⋊C4—261no—
1499C2×C4⋊C4—261no—
1500C2×C4⋊C4—261no—
1501C2×C4⋊C4—261no—
1502C2×C22⋊C4—261no—
1503C2×C22⋊C4—261no—
1504C2×C22⋊C4—261no—
1505C2×C22⋊C4—261no—
1506C2×C22⋊C4—261no—
1507C2×C22⋊C4—261no—
1508C2×C22⋊C4—261no—
1509C2×C22⋊C4—261no—
1510C2×C22⋊C4—261no—
1511#107—131no—
1512#107—131no—
1513#106—131no—
1514#106C22×D1311yescharacteristic, complemented
1515C4⋊C8—131no—
1516C4⋊C8—131no—
1517C4⋊C8—131no—
1518C4⋊C8C22×D1311yescharacteristic, complemented
1519#103—131no—
1520#103—131no—
1521#103—131no—
1522#103—131no—
1523#103—131no—
1524#103—131no—
1525#103—131no—
1526#103C22×D1311yescharacteristic, complemented
1527#103C22×D1311yescharacteristic, complemented
1528#103C22×D1311yescharacteristic, complemented
1529#102—131no—
1530#102—131no—
1531#102—131no—
1532#102—131no—
1533#102—131no—
1534#102—131no—
1535#102—131no—
1536#102—131no—
1537#102—131no—
1538#102—131no—
1539#102—131no—
1540#102C22×D1311yescharacteristic
1541#102C22×D1311yescharacteristic
1542#102C22×D1311yescharacteristic, complemented
1543C22⋊C8—131no—
1544C22⋊C8—131no—
1545C22⋊C8—131no—
1546C22⋊C8—131no—
1547C22⋊C8—131no—
1548C22⋊C8—131no—
1549C22⋊C8C22×D1311yescharacteristic
1550C22⋊C8C22×D1311yescharacteristic, complemented
1551#97—131no—
1552#97—131no—
1553C4×C8—131no—
1554C4×C8C22×D1311yescharacteristic, complemented
1555C2×C13—22no—
1556C2×C13—42no—
1557C2×C13—41no—
1558C2×C13—81no—
1559C2×C13—81no—
1560C2×C13C2×D4211yescharacteristic
1561C2×C13C2×#57711yescharacteristic
1562C2×C13#358511yescharacteristic
1563D13—22no—
1564D13—41no—
1565D13—41no—
1566D13—42no—
1567D13—42no—
1568D13—81no—
1569D13—81no—
1570C24—21no—
1571C24—21no—
1572C24—131no—
1573C24—261no—
1574C24—261no—
1575C24—261no—
1576C24—261no—
1577C24—261no—
1578C24—261no—
1579C24—261no—
1580C24—524no—
1581C24—1042no—
1582C24—1042no—
1583#41—134no—
1584#41—262no—
1585#41—262no—
1586#41—262no—
1587#41—262no—
1588#41—262no—
1589#41—262no—
1590#41—262no—
1591#41—262no—
1592#41—262no—
1593#41—262no—
1594#41—262no—
1595#41—262no—
1596#41—262no—
1597#41—521no—
1598#41—521no—
1599#41—524no—
1600#41—524no—
1601#41—524no—
1602#41—521no—
1603#41—521no—
1604#41—521no—
1605#41—521no—
1606#41—524no—
1607#41—524no—
1608#41—524no—
1609C2×Q8—21no—
1610C2×Q8—21no—
1611C2×Q8—22no—
1612C2×Q8—22no—
1613C2×Q8—41no—
1614C2×Q8—41no—
1615C2×Q8—131no—
1616C2×Q8—131no—
1617C2×Q8—131no—
1618C2×Q8—261no—
1619C2×Q8—261no—
1620C2×Q8—262no—
1621C2×Q8—262no—
1622C2×Q8—262no—
1623C2×Q8—521no—
1624C2×Q8—524no—
1625C2×Q8C23×D1311yescharacteristic
1626C2×Q8C23×D1311yescharacteristic
1627C2×Q8C23×D1311yescharacteristic
1628C2×D4—22no—
1629C2×D4—22no—
1630C2×D4—21no—
1631C2×D4—21no—
1632C2×D4—21no—
1633C2×D4—21no—
1634C2×D4—21no—
1635C2×D4—21no—
1636C2×D4—41no—
1637C2×D4—41no—
1638C2×D4—82no—
1639C2×D4—134no—
1640C2×D4—131no—
1641C2×D4—131no—
1642C2×D4—131no—
1643C2×D4—131no—
1644C2×D4—131no—
1645C2×D4—131no—
1646C2×D4—131no—
1647C2×D4—131no—
1648C2×D4—131no—
1649C2×D4—131no—
1650C2×D4—262no—
1651C2×D4—262no—
1652C2×D4—261no—
1653C2×D4—261no—
1654C2×D4—261no—
1655C2×D4—261no—
1656C2×D4—261no—
1657C2×D4—261no—
1658C2×D4—261no—
1659C2×D4—262no—
1660C2×D4—262no—
1661C2×D4—262no—
1662C2×D4—261no—
1663C2×D4—261no—
1664C2×D4—261no—
1665C2×D4—261no—
1666C2×D4—261no—
1667C2×D4—261no—
1668C2×D4—261no—
1669C2×D4—262no—
1670C2×D4—262no—
1671C2×D4—262no—
1672C2×D4—261no—
1673C2×D4—261no—
1674C2×D4—261no—
1675C2×D4—261no—
1676C2×D4—261no—
1677C2×D4—261no—
1678C2×D4—261no—
1679C2×D4—261no—
1680C2×D4—261no—
1681C2×D4—261no—
1682C2×D4—521no—
1683C2×D4—521no—
1684C2×D4—524no—
1685C2×D4—521no—
1686C2×D4—521no—
1687C2×D4—521no—
1688C2×D4—524no—
1689C2×D4—524no—
1690C2×D4—524no—
1691C2×D4—524no—
1692C2×D4—524no—
1693C2×D4—524no—
1694C2×D4—1042no—
1695C2×D4—1042no—
1696C2×D4—1042no—
1697C2×D4D4×D1311yescharacteristic
1698C2×D4C23×D1311yescharacteristic
1699C2×D4C23×D1311yescharacteristic
1700C2×D4C23×D1311yescharacteristic
1701C22×C4—21no—
1702C22×C4—21no—
1703C22×C4—21no—
1704C22×C4—131no—
1705C22×C4—131no—
1706C22×C4—131no—
1707C22×C4—131no—
1708C22×C4—131no—
1709C22×C4—131no—
1710C22×C4—261no—
1711C22×C4—262no—
1712C22×C4—262no—
1713C22×C4—261no—
1714C22×C4—261no—
1715C22×C4—261no—
1716C22×C4—261no—
1717C22×C4—261no—
1718C22×C4—261no—
1719C22×C4—261no—
1720C22×C4—261no—
1721C22×C4—261no—
1722C22×C4—261no—
1723C22×C4—261no—
1724C22×C4—261no—
1725C22×C4—261no—
1726C22×C4—261no—
1727C22×C4—261no—
1728C22×C4—261no—
1729C22×C4—524no—
1730C22×C4C23×D1311yescharacteristic
1731C22×C4C23×D1311yescharacteristic
1732Q16—262no—
1733Q16—262no—
1734Q16—262no—
1735Q16—521no—
1736SD16—22no—
1737SD16—22no—
1738SD16—22no—
1739SD16—22no—
1740SD16—22no—
1741SD16—22no—
1742SD16—41no—
1743SD16—41no—
1744SD16—134no—
1745SD16—262no—
1746SD16—262no—
1747SD16—262no—
1748SD16—262no—
1749SD16—262no—
1750SD16—262no—
1751SD16—262no—
1752SD16—262no—
1753SD16—521no—
1754SD16—521no—
1755SD16—521no—
1756SD16—521no—
1757SD16D4×D1314yescomplemented
1758D8—134no—
1759D8—134no—
1760D8—262no—
1761D8—262no—
1762D8—262no—
1763D8—262no—
1764D8—262no—
1765D8—262no—
1766D8—262no—
1767D8—521no—
1768M16—134no—
1769M16—262no—
1770M16—262no—
1771M16—262no—
1772M16—262no—
1773M16—262no—
1774C2×C8—22no—
1775C2×C8—22no—
1776C2×C8—131no—
1777C2×C8—131no—
1778C2×C8—131no—
1779C2×C8—131no—
1780C2×C8—262no—
1781C2×C8—262no—
1782C2×C8—262no—
1783C2×C8—262no—
1784C2×C8C23×D1311yescharacteristic
1785C2×C8C23×D1311yescharacteristic
1786C2×C8C23×D1311yescharacteristic
1787C2×C8C23×D1311yescharacteristic
1788C4⋊C4—21no—
1789C4⋊C4—21no—
1790C4⋊C4—21no—
1791C4⋊C4—21no—
1792C4⋊C4—21no—
1793C4⋊C4—131no—
1794C4⋊C4—131no—
1795C4⋊C4—131no—
1796C4⋊C4—131no—
1797C4⋊C4—131no—
1798C4⋊C4—131no—
1799C4⋊C4—131no—
1800C4⋊C4—261no—
1801C4⋊C4—261no—
1802C4⋊C4—261no—
1803C4⋊C4—261no—
1804C4⋊C4—261no—
1805C4⋊C4—261no—
1806C4⋊C4—261no—
1807C4⋊C4—261no—
1808C4⋊C4—261no—
1809C4⋊C4—261no—
1810C4⋊C4D4×D1311yescharacteristic
1811C4⋊C4C23×D1311yescharacteristic
1812C4⋊C4C23×D1311yescharacteristic
1813C22⋊C4—21no—
1814C22⋊C4—21no—
1815C22⋊C4—21no—
1816C22⋊C4—21no—
1817C22⋊C4—21no—
1818C22⋊C4—131no—
1819C22⋊C4—131no—
1820C22⋊C4—131no—
1821C22⋊C4—131no—
1822C22⋊C4—131no—
1823C22⋊C4—131no—
1824C22⋊C4—131no—
1825C22⋊C4—131no—
1826C22⋊C4—261no—
1827C22⋊C4—261no—
1828C22⋊C4—261no—
1829C22⋊C4—261no—
1830C22⋊C4—261no—
1831C22⋊C4—261no—
1832C22⋊C4—261no—
1833C22⋊C4—261no—
1834C22⋊C4—261no—
1835C22⋊C4—261no—
1836C22⋊C4—261no—
1837C22⋊C4—261no—
1838C22⋊C4—261no—
1839C22⋊C4—261no—
1840C22⋊C4—261no—
1841C22⋊C4—261no—
1842C22⋊C4—261no—
1843C22⋊C4—261no—
1844C22⋊C4—261no—
1845C22⋊C4—261no—
1846C22⋊C4—261no—
1847C22⋊C4—261no—
1848C22⋊C4—261no—
1849C22⋊C4—261no—
1850C22⋊C4—261no—
1851C22⋊C4—261no—
1852C22⋊C4D4×D1311yescharacteristic
1853C22⋊C4D4×D1311yescharacteristic
1854C42—21no—
1855C42—131no—
1856C42—261no—
1857C42—261no—
1858C42C23×D1311yescharacteristic
1859C13#6107111yescharacteristic, complemented, Sylow
1860C23—21no—
1861C23—21no—
1862C23—21no—
1863C23—42no—
1864C23—42no—
1865C23—42no—
1866C23—81no—
1867C23—81no—
1868C23—81no—
1869C23—131no—
1870C23—131no—
1871C23—131no—
1872C23—262no—
1873C23—264no—
1874C23—262no—
1875C23—261no—
1876C23—261no—
1877C23—261no—
1878C23—261no—
1879C23—521no—
1880C23—522no—
1881C23—522no—
1882C23—522no—
1883C23—522no—
1884C23—522no—
1885C23—522no—
1886C23—522no—
1887C23—522no—
1888C23—522no—
1889C23—522no—
1890C23—1041no—
1891C23—1041no—
1892C23—1041no—
1893C23—1041no—
1894C23—1041no—
1895C23—1041no—
1896C23—1041no—
1897C23—1041no—
1898C23—1041no—
1899C23—1041no—
1900C23—10416no—
1901C23C2×D4×D1311yescharacteristic
1902C23C2×D4×D1311yescharacteristic
1903Q8—21no—
1904Q8—21no—
1905Q8—21no—
1906Q8—21no—
1907Q8—21no—
1908Q8—42no—
1909Q8—42no—
1910Q8—262no—
1911Q8—261no—
1912Q8—261no—
1913Q8—261no—
1914Q8—261no—
1915Q8—522no—
1916Q8—522no—
1917Q8C2×D4×D1312yes—
1918D4—22no—
1919D4—21no—
1920D4—21no—
1921D4—21no—
1922D4—21no—
1923D4—21no—
1924D4—42no—
1925D4—42no—
1926D4—42no—
1927D4—81no—
1928D4—81no—
1929D4—81no—
1930D4—132no—
1931D4—132no—
1932D4—262no—
1933D4—264no—
1934D4—264no—
1935D4—262no—
1936D4—262no—
1937D4—262no—
1938D4—261no—
1939D4—261no—
1940D4—261no—
1941D4—261no—
1942D4—261no—
1943D4—261no—
1944D4—521no—
1945D4—522no—
1946D4—522no—
1947D4—522no—
1948D4—522no—
1949D4—522no—
1950D4—522no—
1951D4—522no—
1952D4—521no—
1953D4—522no—
1954D4—522no—
1955D4—522no—
1956D4—522no—
1957D4—522no—
1958D4—522no—
1959D4—522no—
1960D4—522no—
1961D4—1041no—
1962D4—1041no—
1963D4—1041no—
1964D4—1041no—
1965D4—1041no—
1966D4—1041no—
1967D4—1041no—
1968D4C2×D4×D1312yes—
1969C2×C4—21no—
1970C2×C4—21no—
1971C2×C4—21no—
1972C2×C4—21no—
1973C2×C4—21no—
1974C2×C4—21no—
1975C2×C4—21no—
1976C2×C4—21no—
1977C2×C4—21no—
1978C2×C4—42no—
1979C2×C4—42no—
1980C2×C4—81no—
1981C2×C4—131no—
1982C2×C4—132no—
1983C2×C4—132no—
1984C2×C4—131no—
1985C2×C4—131no—
1986C2×C4—131no—
1987C2×C4—131no—
1988C2×C4—262no—
1989C2×C4—264no—
1990C2×C4—262no—
1991C2×C4—262no—
1992C2×C4—261no—
1993C2×C4—261no—
1994C2×C4—261no—
1995C2×C4—261no—
1996C2×C4—261no—
1997C2×C4—261no—
1998C2×C4—261no—
1999C2×C4—261no—
2000C2×C4—522no—
2001C2×C4—522no—
2002C2×C4—522no—
2003C2×C4—522no—
2004C2×C4—522no—
2005C2×C4—522no—
2006C2×C4—522no—
2007C2×C4—522no—
2008C2×C4—522no—
2009C2×C4—522no—
2010C2×C4—1041no—
2011C2×C4—1041no—
2012C2×C4—1041no—
2013C2×C4—1041no—
2014C2×C4—1041no—
2015C2×C4—1041no—
2016C2×C4C2×D4×D1311yescharacteristic
2017C2×C4C2×D4×D1311yescharacteristic
2018C2×C4C2×D4×D1311yescharacteristic
2019C2×C4C2×D4×D1311yescharacteristic
2020C2×C4C24×D1311yescharacteristic
2021C8—21no—
2022C8—21no—
2023C8—21no—
2024C8—132no—
2025C8—261no—
2026C8—261no—
2027C8—261no—
2028C8C2×D4×D1312yes—
2029C22—21no—
2030C22—21no—
2031C22—21no—
2032C22—22no—
2033C22—21no—
2034C22—21no—
2035C22—41no—
2036C22—41no—
2037C22—41no—
2038C22—41no—
2039C22—41no—
2040C22—41no—
2041C22—41no—
2042C22—41no—
2043C22—84no—
2044C22—132no—
2045C22—162no—
2046C22—261no—
2047C22—261no—
2048C22—261no—
2049C22—262no—
2050C22—261no—
2051C22—262no—
2052C22—261no—
2053C22—261no—
2054C22—261no—
2055C22—261no—
2056C22—524no—
2057C22—521no—
2058C22—521no—
2059C22—521no—
2060C22—521no—
2061C22—521no—
2062C22—521no—
2063C22—521no—
2064C22—521no—
2065C22—521no—
2066C22—521no—
2067C22—1044no—
2068C22—1044no—
2069C22—1044no—
2070C22—1044no—
2071C22—1044no—
2072C22—1044no—
2073C22—2082no—
2074C22#1171946712yescomplemented
2075C22C22×D4×D1311yescharacteristic
2076C4—21no—
2077C4—21no—
2078C4—22no—
2079C4—21no—
2080C4—21no—
2081C4—41no—
2082C4—41no—
2083C4—41no—
2084C4—41no—
2085C4—132no—
2086C4—261no—
2087C4—261no—
2088C4—261no—
2089C4—261no—
2090C4—521no—
2091C4—521no—
2092C4—521no—
2093C4—521no—
2094C4C22×D4×D1311yescharacteristic
2095C4D13×H(5,𝔽2)11yescharacteristic
2096C2—22no—
2097C2—41no—
2098C2—42no—
2099C2—81no—
2100C2—81no—
2101C2—262no—
2102C2—521no—
2103C2—521no—
2104C2—522no—
2105C2—522no—
2106C2—1041no—
2107C2—1041no—
2108C2D42×D1311yescharacteristic
2109C2C2×#1171946711yescharacteristic
2110C2#1312961411yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingD4×C13×SD16C2
socleC22×C13C23×D4
hypercenterD4×SD16D13
hypocenterC13#61071
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ D4×SD16

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#11719467C2semidirect
2. C22×#88168C2semidirect
3. #13128513C2semidirect
4. #13128464C2semidirect
5. #13126525C2semidirect
6. #13126523C2semidirect
7. #13126514C2semidirect
8. #13126470C2semidirect
9. #13126469C2semidirect
10. #13126435C2semidirect
11. #13126434C2semidirect
12. #13126367C2semidirect
13. #13126358C2semidirect
14. #13126347C2semidirect
15. #13126346C2semidirect
16. #13126331C2semidirect
17. #13126326C2semidirect
18. #13126313C2semidirect
19. #13126312C2semidirect
20. #13125305C2semidirect
21. #13124509C2semidirect
22. #13124459C2semidirect
23. #13124372C2semidirect
24. #13124343C2semidirect
25. #13124141C2semidirect
26. #13124117C2semidirect
27. #13124053C2semidirect
28. D13×#450C2semidirect
29. #13123663C2semidirect
30. #13123556C2semidirect
31. D4×C13×SD16C2semidirect
32. C2×#88254C22semidirect
33. C22×#6131C22semidirect
34. C2×#88251C22semidirect
36. C22×C13×SD16C22semidirect
37. C22×C13×SD16C22semidirect
38. D4×Q8×C13C22semidirect
40. #11719522C22semidirect
41. Q8×C22⋊D13C22semidirect
42. C2×#88196C22semidirect
43. C22×#6106C22semidirect
46. D4×C22⋊D13C22semidirect
48. C2×#88186C22semidirect
49. C22×#6104C22semidirect
51. C2×#88170C22semidirect
52. C2×#88170C22semidirect
53. C2×#88170C22semidirect
54. C2×#88169C22semidirect
55. C2×#88169C22semidirect
59. C2×#88168C22semidirect
60. C2×#88168C22semidirect
61. C2×#88168C22semidirect
62. C2×#88168C22semidirect
63. C2×#88168C22semidirect
64. C2×#88168C22semidirect
65. C2×#88168C22semidirect
66. C2×SD16×D13C22semidirect
67. C2×SD16×D13C22semidirect
68. C2×SD16×D13C22semidirect
69. C2×#88158C22semidirect
70. C22×D104C22semidirect
71. C2×#88155C22semidirect
72. C22×#6094C22semidirect
74. #11719431C22semidirect
76. #11719429C22semidirect
77. #11719422C22semidirect
78. #11719420C22semidirect
80. #11719336C22semidirect
82. #11719335C22semidirect
84. #11719334C22semidirect
86. D13×C22⋊Q8C22semidirect
87. #11719317C22semidirect
90. #11719312C22semidirect
97. #11719281C22semidirect
98. #11719279C22semidirect
99. #11719259C22semidirect
102. #11719255C22semidirect
105. #11719250C22semidirect
106. C13×#492C22semidirect
107. C13×#465C22semidirect
108. C13×#465C22semidirect
109. C13×#461C22semidirect
110. C13×#460C22semidirect
111. C13×#450C22semidirect
112. C13×#450C22semidirect
113. C13×#448C22semidirect
114. C13×#448C22semidirect
115. C4×C13×SD16C22semidirect
116. C8×D4×C13C22semidirect
117. #11718889C22semidirect
118. #11718888C22semidirect
119. #11718879C22semidirect
120. #11718878C22semidirect
121. #11718837C22semidirect
122. #11718836C22semidirect
123. #11718835C22semidirect
124. #11718835C22semidirect
125. #11718834C22semidirect
126. #11718833C22semidirect
127. #11718833C22semidirect
128. #11718833C22semidirect
129. #11718831C22semidirect
130. #11718830C22semidirect
131. #11718830C22semidirect
132. #11718830C22semidirect
133. #11718829C22semidirect
134. #11718828C22semidirect
135. #11718827C22semidirect
136. #11718826C22semidirect
137. #11718825C22semidirect
138. #11718824C22semidirect
139. #11718823C22semidirect
140. #11718777C22semidirect
141. #11718776C22semidirect
142. #11718772C22semidirect
143. #11718772C22semidirect
144. #11718747C22semidirect
145. #11718744C22semidirect
146. #11718735C22semidirect
147. #11718733C22semidirect
148. #11718712C22semidirect
149. #11718710C22semidirect
150. #11718708C22semidirect
151. #11718707C22semidirect
152. #11718702C22semidirect
153. #11718700C22semidirect
154. #11718698C22semidirect
155. #11718697C22semidirect
156. #11718689C22semidirect
157. #11718687C22semidirect
158. #11718677C22semidirect
159. #11718675C22semidirect
160. #11718672C22semidirect
161. #11718530C22semidirect
162. #11718529C22semidirect
163. #11718526C22semidirect
164. #11718522C22semidirect
165. #11718505C22semidirect
166. #11718505C22semidirect
167. #11718500C22semidirect
168. #11718497C22semidirect
169. #11718480C22semidirect
170. #11718479C22semidirect
171. #11718477C22semidirect
172. #11718472C22semidirect
173. #11718471C22semidirect
174. #11718471C22semidirect
175. #11718468C22semidirect
176. #11718467C22semidirect
177. #11718465C22semidirect
178. #11718465C22semidirect
179. #11718463C22semidirect
180. #11718449C22semidirect
181. #11718448C22semidirect
182. #11718447C22semidirect
183. #11718442C22semidirect
184. #11718441C22semidirect
185. #11718437C22semidirect
186. #11718437C22semidirect
187. #11718436C22semidirect
188. #11718434C22semidirect
189. #11718432C22semidirect
190. D13×#102C22semidirect
191. D13×#102C22semidirect
192. #11718417C22semidirect
193. #11718395C22semidirect
194. #11718395C22semidirect
195. #11718392C22semidirect
196. #11718392C22semidirect
197. #11718390C22semidirect
198. #11718388C22semidirect
199. #11718386C22semidirect
200. D13×C22⋊C8C22semidirect
201. #11718357C22semidirect
202. C4×D104C22semidirect
203. #11718350C22semidirect
204. #11718349C22semidirect
207. C22×Q8×C13C23semidirect
226. C2×#6131C23semidirect
229. C2×Q8×D13C23semidirect
251. C2×#6127C23semidirect
265. C2×C13×SD16C23semidirect
266. C2×C13×SD16C23semidirect
267. C2×C13×SD16C23semidirect
269. C22×C8×C13C23semidirect
271. C13×C4⋊Q8C23semidirect
276. C13×C22⋊Q8C23semidirect
282. C4×Q8×C13C23semidirect
290. #88201C23semidirect
294. #88200C23semidirect
295. Q8×Dic13C23semidirect
297. #88198C23semidirect
298. C2×#6107C23semidirect
299. C2×#6107C23semidirect
300. C2×#6107C23semidirect
338. C2×#6105C23semidirect
345. C2×#6104C23semidirect
346. C2×#6104C23semidirect
350. #88184C23semidirect
361. C2×#6099C23semidirect
376. #88168D4semidirect
380. C2×Dic52C23semidirect
389. C2×#6095C23semidirect
390. C2×#6095C23semidirect
397. C2×#6094C23semidirect
400. C2×C8×D13C23semidirect
414. #88149C23semidirect
426. #88147C23semidirect
463. #88129C23semidirect
468. C4×D52C23semidirect
471. C13×#106C23semidirect
472. C13×C4⋊C8C23semidirect
473. C13×#103C23semidirect
474. C13×#103C23semidirect
475. C13×#103C23semidirect
478. C13×#102C23semidirect
480. C13×C22⋊C8C23semidirect
481. C4×C8×C13C23semidirect
482. #88075C23semidirect
483. #88075C23semidirect
484. #88075C23semidirect
487. #88072C23semidirect
489. C22⋊#1055C23semidirect
492. #88061C23semidirect
493. #88061C23semidirect
496. #88060C23semidirect
497. #88060C23semidirect
498. #88058C23semidirect
499. #88056C23semidirect
500. #88056C23semidirect
501. #88055C23semidirect
502. #88054C23semidirect
503. #88054C23semidirect
504. C8×Dic13C23semidirect
505. #88050C23semidirect
506. #88050C23semidirect
509. #88049C23semidirect
510. #88049C23semidirect
511. #88048C23semidirect
512. #88047C23semidirect
513. C4⋊#1055C23semidirect
514. #88043C23semidirect
597. #6131C2×D4semidirect
686. C13×SD16C2×D4semidirect
727. #6106C2×D4semidirect
736. #6104C2×D4semidirect
792. D104C2×D4semidirect
801. #6094C2×D4semidirect
810. D4×SD16D13semidirect
1032. C22×SD16C2×D13semidirect
1033. C22×SD16C2×D13semidirect
1039. D4×Q8C2×D13semidirect
1086. #492C2×D13semidirect
1101. #465C2×D13semidirect
1102. #465C2×D13semidirect
1114. #461C2×D13semidirect
1116. #460C2×D13semidirect
1133. #450C2×D13semidirect
1134. #450C2×D13semidirect
1146. #448C2×D13semidirect
1147. #448C2×D13semidirect
1156. C4×SD16C2×D13semidirect
1166. C8×D4C2×D13semidirect
1194. C22×C13#577semidirect
1272. C22×Q8C22×D13semidirect
1343. C2×SD16C22×D13semidirect
1344. C2×SD16C22×D13semidirect
1345. C2×SD16C22×D13semidirect
1371. C22×C8C22×D13semidirect
1375. C4⋊Q8C22×D13semidirect
1421. C22⋊Q8C22×D13semidirect
1473. C4×Q8C22×D13semidirect
1514. #106C22×D13semidirect
1518. C4⋊C8C22×D13semidirect
1526. #103C22×D13semidirect
1527. #103C22×D13semidirect
1528. #103C22×D13semidirect
1542. #102C22×D13semidirect
1550. C22⋊C8C22×D13semidirect
1554. C4×C8C22×D13semidirect
1757. SD16D4×D13semidirect
1859. C13#61071semidirect
2074. C22#11719467semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#117194672
C22×#881682
#131285132
#131284642
#131265252
#131265232
#131265142
#131264702
#131264692
#131264352
#131264342
#131263672
#131263582
#131263472
#131263462
#131263312
#131263262
#131263132
#131263122
#131253052
#131245092
#131244592
#131243722
#131243432
#131241412
#131241172
#131240532
D13×#4502
#131236632
#131235562
D4×C13×SD162
#6107113